Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

Article

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J. Korean Math. Soc. 1998; 35(1): 85-114

Printed March 1, 1998

Copyright © The Korean Mathematical Society.

The Riemann problem for a system of conservation laws of mixed type (I)

Choon-Ho Lee

Hoseo University

Abstract

We prove the existence of solutions of the Riemann problem for a system of conservation laws of mixed type using the method of vanishing viscosity term.

Keywords: Riemann problem, existence of solutions, fixed point theorem

MSC numbers: 35L45, 35L65